If E is a Banach space, b 2 BMO(Rn, L(E)) and T is a L(E)-valued Calderon-Zygmund type operator with operator-valued kernel k, we show the boundedness of the commutator Tb(f) = bT(f) - T(bf) on Lp(Rn,E) for 1 < p < 1 whenever b and k verify some commuting properties. Some endpoint estimates are also provided.
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